Number:         Mech 249/03
Author(s):       Engelbrech, J., Pastrone, F. Berezovski, A.
Title:               Waves in microstructured materials: comparative analysis of models. 19 p., ill.
Language:      English
Keywords:      deformation waves; microstructure; dispersion

ABSTRACT.   Several mathematical models describing wave propagation in microstructured materials are comparatively analysed. The basic model is taken along Mindlin (1964) and its asymptotic simplification (Engelbrecht and Pastrone, 2003). This asymptotic model describes (i) hierarhical character of wave motion; (ii) changes in wave speed; (iii) influence of dispersion. The comparative analysis of lattice models (Maugin, 1999) and models for periodic structures (Santosa and Symes, 1991) permits to clarify the nature of dispersive effects including the role of inertia of the microstructure. In addition, the straight-forward modelling can be used assigning all the physical parameters to every volume element in a material. In this case, the numerical simulation (Berezovski et al., 2001; 2003) by finite volume method supports the theoretical considerations. Having the clear understanding about the physical effects and the accuracy of models, the experiments can be outlined in order to verify the theories and to determine the physical parameters.

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  MT   17.02.2004